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Finding the Fourth Proportional to 1,952.28, 2,928.61 and 635.97

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Solution

The fourth proportional to 1,952.28, 2,928.61 and 635.97 is: 954.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.28 : 2,928.61 = 635.97 : x
  2. Step 2: Convert to fraction form
    1,952.28/2,928.61 = 635.97/x
  3. Step 3: Cross multiply
    1,952.28x = 2,928.61 × 635.97
  4. Step 4: Simplify right side
    1,952.28x = 1,862,519.88
  5. Step 5: Solve for x
    x = 1,862,519.88/1,952.28
  6. Step 6: Final answer
    x = 954.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.